Quadratic Formula

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m2-5m-14=0

b2-4b+4=0

2m2+2m-12=0

8n2+7n-15=7

and the hardest!

k2-31-2k=-6-3k2-k

  • Quadratic Formula -

    Some points to remember:

    1. Be sure to set your equations equal to 0.

    2. See if the equation factors easily.

    3. If it does, factor, then set each factor equal to 0.

    4. Solve for the solutions.

    Let's look at your first equation:

    m^2 - 5m - 14 = 0
    (I'm using ^2 to mean squared.)

    This equation is already equal to 0.

    Let's see if it factors easily:
    (m - 7)(m + 2) = 0 (It does!)

    Now let's set each factor equal to 0:
    m - 7 = 0; m = 7
    m + 2 = 0; m = -2

    Check the solutions with the original equation by substituting the values you found for m. It always helps to check your work.

    I hope this will help get you started.

  • Quadratic Formula -

    m2-5m-14=0

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